Search a number
-
+
4323663234 = 2321122386311
BaseRepresentation
bin1000000011011010…
…11101110110000010
3102011022201211221100
410001231131312002
532323324210414
61553011035230
7212100350112
oct40155356602
912138654840
104323663234
111919660200
12a07b9bb16
1353b9b6117
142d0327042
151a48aa609
hex101b5dd82

4323663234 has 72 divisors (see below), whose sum is σ = 10744808256. Its totient is φ = 1253221200.

The previous prime is 4323663221. The next prime is 4323663259.

4323663234 is a `hidden beast` number, since 4 + 323 + 6 + 6 + 323 + 4 = 666.

4323663234 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43236632342 = 37388127522086677512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6939 + ... + 93249.

It is an arithmetic number, because the mean of its divisors is an integer number (149233448).

Almost surely, 24323663234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4323663234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372404128).

4323663234 is an abundant number, since it is smaller than the sum of its proper divisors (6421145022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4323663234 is a wasteful number, since it uses less digits than its factorization.

4323663234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86364 (or 86350 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 4323663234 is about 65754.5681606989. The cubic root of 4323663234 is about 1629.1107892909.

It can be divided in two parts, 432366 and 3234, that added together give a square (435600 = 6602).

The spelling of 4323663234 in words is "four billion, three hundred twenty-three million, six hundred sixty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1518 2178 2277 2783 4554 5566 8349 16698 25047 50094 86311 172622 258933 517866 776799 949421 1553598 1898842 1985153 2848263 3970306 5696526 5955459 8544789 10443631 11910918 17089578 17866377 20887262 21836683 31330893 35732754 43673366 62661786 65510049 93992679 131020098 187985358 196530147 240203513 393060294 480407026 720610539 1441221078 2161831617 4323663234